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Scale Factor and Surface Area of a Cube

Scale Factor and Surface Area of a Cube
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2016-03-09 05:05
VectorCoordinate GeometrySolid Geometry
This example demonstrates how the scale factor affects the surface area of a cube. Key mathematical concepts include proportion and area. Using GeoGebra commands such as Intersect, Point, and Cube, the construction of a cube and its faces and edges is illustrated. Suitable for middle school and above students to learn geometric transformations and area calculation.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, zAxis) → A
  2. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  3. Cube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  4. Segment((0, 1, 0), (scaleFactor, 1, 0)) → b
  5. Segment((scaleFactor + 1, (-scaleFactor), 0), (scaleFactor + 1, 0, 0)) → c
  6. Segment((scaleFactor + 1, 1, 0), (scaleFactor + 1, 1, scaleFactor)) → d